What is the Least Common Multiple of 17493 and 17508?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 17493 and 17508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17493 and 17508, than apply into the LCM equation.

GCF(17493,17508) = 3
LCM(17493,17508) = ( 17493 × 17508) / 3
LCM(17493,17508) = 306267444 / 3
LCM(17493,17508) = 102089148

Least Common Multiple (LCM) of 17493 and 17508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17493 and 17508. First we will calculate the prime factors of 17493 and 17508.

Prime Factorization of 17493

Prime Factorization of 17508

Now multiplying the highest exponent prime factors to calculate the LCM of 17493 and 17508.

LCM(17493,17508) = 3¹ × 7³ × 17¹ × 2² × 1459¹
LCM(17493,17508) = 102089148